Geodesic
Differentiability of the "Positive Part" Map
Journal of convex analysis, Tome 21 (2014) no. 2, pp. 449-452

Voir la notice de l'article provenant de la source Heldermann Verlag

This is a 1964 work which was quoted in some papers (in 1966, 1976) but remained unpublished. We hope the results and the hypotheses of the statements will still find some echo. We give here the English translation of the article "Un problème de dérivabilité dans Lp'', Séminaire d'Automatique Théorique, Université de Caen (France), November 27 (1964), only avoiding an archaical presentation of Uniform Integrability and suppressing two examples.
Mots-clés : L-p-spaces, positive part of a function, Frechet differentiability, Gateaux differentiability 
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     title = {Differentiability of the {"Positive} {Part"} {Map}},
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     number = {2},
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M. Valadier. Differentiability of the "Positive Part" Map. Journal of convex analysis, Tome 21 (2014) no. 2, pp. 449-452. http://geodesic.mathdoc.fr/item/JCA_2014_21_2_JCA_2014_21_2_a6/